I have a series of static IP addresses that I use. My general setup has the T1 plug into the switch, and then the switch into the servers. I assign each server its own IP address. But I'm testing a router right now, trying to set it up for VPN, and I need to test it on that T1 without disconnecting the servers from the T1. So, this isn't a usual setup, I'm just doing this for testing purposes and it's annoying the heck out of me.

The Cisco router I'm using is an 881W. When I connect it directly to the T1, I have zero issues. The router, set up correctly, connects to the internet and acts like a router should. But for my testing purposes, I need to connect it to that T1 without unplugging the other servers. All my knowledge is self-taught, so I'm not particularly good with all the terminology. But shouldn't it be fairly simple to place a switch between T1 modem and router? The router is configurable but I don't see anything that would cause the problems I'm seeing.

Correct. The router is using a unique IP that's not in use by any of the others.

I can get to the router config page no problem. When I test the connection in the Switch---->Router configuration, it tells me there's no exit interface and I have no connection to the internet. However, if I then plug the router directly into the T1 without changing any settings, it connects just fine. It's got me stumped. I appreciate any insight you might have.